1. **State the problem:** We need to find the equation of an exponential function in the form $f(x) = a(b)^x$ given points from the graph. 2. **Identify known points:** From the graph, the function passes through $(0,16)$ and $(1,6)$. 3. **Use the property of exponential functions:** At $x=0$, $f(0) = a(b)^0 = a = 16$. So, $a=16$. 4. **Find $b$ using the point $(1,6)$:** Substitute $x=1$ and $f(1)=6$ into $f(x) = 16b^x$: $$6 = 16b^1 = 16b$$ 5. **Solve for $b$:** $$b = \frac{6}{16} = \frac{3}{8} = 0.375$$ 6. **Write the final function:** $$f(x) = 16 \left(\frac{3}{8}\right)^x$$ This function represents exponential decay because $0 < b < 1$. **Final answer:** $$f(x) = 16 \left(\frac{3}{8}\right)^x$$